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http://hdl.handle.net/1942/11290
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DC Field | Value | Language |
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dc.contributor.author | He, Ji-Wei | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2010-11-09T14:34:34Z | - |
dc.date.available | NO_RESTRICTION | - |
dc.date.available | 2010-11-09T14:34:34Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | GLASGOW MATHEMATICAL JOURNAL, 52. p. 649-661 | - |
dc.identifier.issn | 0017-0895 | - |
dc.identifier.uri | http://hdl.handle.net/1942/11290 | - |
dc.description.abstract | Let H be a Hopf algebra, A/B be an H-Galois extension. Let D(A) and D(B) be the derived categories of right A-modules and of right B-modules, respectively. An object M-. is an element of D(A) may be regarded as an object in D(B) via the restriction functor. We discuss the relations of the derived endomorphism rings E-A(M-.) =. circle plus i is an element of zHom(D(A))(M-. , M-. [i]) and E-B(M-.) = circle plus i is an element of z Hom(D(B))(M-., M-. [i]). If H is a finite-dimensional semi-simple Hopf algebra, then E-A(M-.) is a graded sub-algebra of E-B(M-.). In particular, if M is a usual A-module, a necessary and sufficient condition for E-B(M) to be an H*-Galois graded extension of E-A(M) is obtained. As an application of the results, we show that the Koszul property is preserved under Hopf Galois graded extensions. | - |
dc.description.sponsorship | The first author is supported by an FWO-grant, by NSFC (No. 10801099) and by ED Zhejiang (No. 20070501). | - |
dc.language.iso | en | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.title | DERIVED H-MODULE ENDOMORPHISM RINGS | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 661 | - |
dc.identifier.spage | 649 | - |
dc.identifier.volume | 52 | - |
local.format.pages | 13 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [He, Ji-Wei] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China. [He, Ji-Wei; Van Oystaeyen, Fred] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium. [Zhang, Yinhuo] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. jwhe@usx.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1017/S0017089510000492 | - |
dc.identifier.isi | 000282230200020 | - |
item.accessRights | Closed Access | - |
item.fullcitation | He, Ji-Wei; Van Oystaeyen, Fred & ZHANG, Yinhuo (2010) DERIVED H-MODULE ENDOMORPHISM RINGS. In: GLASGOW MATHEMATICAL JOURNAL, 52. p. 649-661. | - |
item.contributor | He, Ji-Wei | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2011 | - |
crisitem.journal.issn | 0017-0895 | - |
crisitem.journal.eissn | 1469-509X | - |
Appears in Collections: | Research publications |
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